The resonance states of 4H, 4He and 4Li, embedded in the
three-cluster d+N+N continuum, are investigated within a three-cluster model.
The model treats the Pauli principle exactly and incorporates the Faddeev
components for proper description of the boundary conditions for the two- and
three-body continua. The hyperspherical harmonics are used to distinguish and
numerate channels of the three-cluster continuum. It is shown that the
effective barrier, created by three-cluster configuration d+N+N, is strong
enough to accommodate two resonance states.Comment: 20 page, 4 figure